Time Speed and Distance MCQs with Answers and Solutions

Question #541

A car travels a distance of 300 km at a certain speed. If the speed is increased by 10 km/h, it takes 5 hours for the journey. Find the original speed.

A. 60 km/h

B. 50 km/h

C. 55 km/h

D. 45 km/h

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Correct Answer: Option B

Explanation:
New speed = 300 / 5 = 60 km/h. Since new speed is original speed + 10 km/h, the original speed = 60 - 10 = 50 km/h.

This question belongs to: Maths Time Speed and Distance

Question #542

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Excluding stoppages, the speed of a bus is 45 km/h and including stoppages it is 36 km/h. For how many minutes does the bus stop per hour?

A. 15 minutes

B. 14 minutes

C. 12 minutes

D. 10 minutes

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Correct Answer: Option C

Explanation:
Stoppage time per hour = (45 - 36) / 45 = 9 / 45 = 1/5 hour. In minutes = (1/5) * 60 = 12 minutes.

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Question #543

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A train 100 meters long running at 54 km/h passes a standing pedestrian. Find the time taken to cross.

A. 6.0 seconds

B. 6.66 seconds

C. 8.0 seconds

D. 7.2 seconds

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Correct Answer: Option B

Explanation:
Speed of train = 54 * (5/18) = 15 m/s. Time taken = 100 / 15 = 6.66 seconds.

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Question #544

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A thief escapes at 5:00 AM at 40 km/h. The police pursue him starting at 6:00 AM at 50 km/h. At what time will the thief be apprehended?

A. 10:30 AM

B. 10:00 AM

C. 9:30 AM

D. 11:00 AM

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Correct Answer: Option B

Explanation:
By 6:00 AM, the thief has traveled for 1 hour and covered 40 km. Relative speed = 50 - 40 = 10 km/h. Time taken to catch = 40 / 10 = 4 hours. Capture time = 6:00 AM + 4 hours = 10:00 AM.

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Question #545

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The speed of two runners are in the ratio 3 : 5. If the first runner takes 40 seconds to complete a loop, how much time does the second runner take?

A. 24 seconds

B. 28 seconds

C. 26 seconds

D. 22 seconds

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Correct Answer: Option A

Explanation:
Ratio of speeds = 3:5, so ratio of times taken = 5:3. Given 5 parts = 40 seconds => 1 part = 8 seconds. Time taken by the second runner = 3 parts = 3 * 8 = 24 seconds.

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Question #546

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A sound wave travels at a speed of 340 m/s. Find the distance covered by the wave in 10 seconds.

A. 3.4 km

B. 3.6 km

C. 3.2 km

D. 3.8 km

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Correct Answer: Option A

Explanation:
Distance = Speed * Time = 340 * 10 = 3400 meters = 3.4 km.

This question belongs to: Maths Time Speed and Distance

Question #547

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A boatman rows 24 km downstream and 12 km upstream, taking 2 hours for each leg of the journey. Find the speed of the boat in still water.

A. 9 km/h

B. 11 km/h

C. 8 km/h

D. 10 km/h

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Correct Answer: Option A

Explanation:
Downstream speed = 24 / 2 = 12 km/h. Upstream speed = 12 / 2 = 6 km/h. Speed in still water = (12 + 6) / 2 = 9 km/h.

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Question #548

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A car covers a distance of 100 km at 40 km/h and another 150 km at 50 km/h. Find the average speed for the complete trip.

A. 45.45 km/h

B. 46.5 km/h

C. 48.0 km/h

D. 44.2 km/h

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Correct Answer: Option A

Explanation:
Total distance = 100 + 150 = 250 km. Time 1 = 100 / 40 = 2.5 hours. Time 2 = 150 / 50 = 3 hours. Total time = 5.5 hours. Average speed = 250 / 5.5 = 45.45 km/h.

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Question #549

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A train passes a 150-meter long bridge in 15 seconds and a standard sign post in 9 seconds. Find the length of the train.

A. 250 meters

B. 210 meters

C. 225 meters

D. 240 meters

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Correct Answer: Option C

Explanation:
Time taken to cross the bridge alone = 15 - 9 = 6 seconds. Speed of train = 150 / 6 = 25 m/s. Length of train = Speed * Time to cross sign post = 25 * 9 = 225 meters.

This question belongs to: Maths Time Speed and Distance

Question #550

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Walking at 5/6 of his normal pace, a man is 10 minutes late to his workplace. What is his normal time?

A. 45 minutes

B. 50 minutes

C. 60 minutes

D. 55 minutes

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Correct Answer: Option B

Explanation:
New speed = 5/6 of normal pace => New time = 6/5 of normal time. Difference = 1/5 of normal time = 10 minutes. Normal time = 10 * 5 = 50 minutes.

This question belongs to: Maths Time Speed and Distance

Question #551

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A person row a boat 16 km upstream in 4 hours. If the speed of the current is 1 km/h, find the speed of the boat in still water.

A. 4 km/h

B. 6 km/h

C. 5 km/h

D. 7 km/h

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Correct Answer: Option C

Explanation:
Upstream speed = 16 / 4 = 4 km/h. Upstream Speed = Speed in still water - Current speed => 4 = Speed in still water - 1 => Speed in still water = 5 km/h.

This question belongs to: Maths Time Speed and Distance

Question #552

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A car covers three successive 10 km stretches at speeds of 20 km/h, 30 km/h and 60 km/h respectively. Find its average speed.

A. 30 km/h

B. 28 km/h

C. 35 km/h

D. 32 km/h

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Correct Answer: Option A

Explanation:
Total distance = 3 * 10 = 30 km. Total time taken = 10/20 + 10/30 + 10/60 = 1/2 + 1/3 + 1/6 = 1 hour. Average speed = 30 / 1 = 30 km/h.

This question belongs to: Maths Time Speed and Distance

Question #553

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A train 120 meters long is traveling at 72 km/h. How long will it take to cross a platform 180 meters long?

A. 17 seconds

B. 15 seconds

C. 19 seconds

D. 13 seconds

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Correct Answer: Option B

Explanation:
Speed of train = 72 * (5/18) = 20 m/s. Total distance = 120 + 180 = 300 meters. Time taken = 300 / 20 = 15 seconds.

This question belongs to: Maths Time Speed and Distance

Question #554

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A wheel has a radius of 14 cm. How many revolutions must it make to cover a distance of 88 meters?

A. 150

B. 120

C. 80

D. 100

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Correct Answer: Option D

Explanation:
Circumference of the wheel = 2 * (22/7) * 14 = 88 cm = 0.88 meters. Total distance = 88 meters. Number of revolutions = 88 / 0.88 = 100.

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Question #555

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A boat moves upstream at 6 km/h and downstream at 12 km/h. Find the speed of the river current.

A. 2.5 km/h

B. 3.5 km/h

C. 4.0 km/h

D. 3.0 km/h

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Correct Answer: Option D

Explanation:
Speed of the river current = (Downstream speed - Upstream speed) / 2 = (12 - 6) / 2 = 6 / 2 = 3 km/h.

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Question #556

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A train running at 72 km/h passes an active signal pole in 10 seconds. Find the length of the train.

A. 180 meters

B. 200 meters

C. 240 meters

D. 220 meters

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Correct Answer: Option B

Explanation:
Speed = 72 * (5/18) = 20 m/s. Length of train = Speed * Time = 20 * 10 = 200 meters.

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Question #557

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A car covers a distance of 200 km at a uniform speed. If the speed is increased by 10 km/h, the journey takes 4 hours. Find the initial speed of the car.

A. 45 km/h

B. 35 km/h

C. 50 km/h

D. 40 km/h

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Correct Answer: Option D

Explanation:
New speed = 200 / 4 = 50 km/h. Since the new speed is 10 km/h faster than the original speed, original speed = 50 - 10 = 40 km/h.

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Question #558

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In a 100-meter race, A can beat B by 15 meters and C by 28 meters. In a race of 85 meters, by how many meters can B beat C?

A. 14 meters

B. 12 meters

C. 13 meters

D. 15 meters

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Correct Answer: Option C

Explanation:
When A covers 100m, B covers 85m and C covers 72m. This means in a distance where B covers 85 meters, C covers 72 meters. Therefore, B beats C by 85 - 72 = 13 meters.

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Question #559

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Excluding stoppages, the speed of an intercity bus is 54 km/h and including stoppages it is 45 km/h. How many minutes does the bus stop per hour?

A. 12 minutes

B. 8 minutes

C. 10 minutes

D. 15 minutes

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Correct Answer: Option C

Explanation:
Stoppage time per hour = (54 - 45) / 54 = 9 / 54 = 1/6 hour. In minutes = (1/6) * 60 = 10 minutes.

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Question #560

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A person travels a distance of 300 km at an average speed of 60 km/h and returns at a speed of 40 km/h. Find the average speed for the round trip.

A. 46 km/h

B. 50 km/h

C. 48 km/h

D. 52 km/h

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Correct Answer: Option C

Explanation:
Average Speed = 2xy / (x + y) = (2 * 60 * 40) / (60 + 40) = 4800 / 100 = 48 km/h.

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